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Finding the Fourth Proportional to 382, 572.94 and 165.64

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Solution

The fourth proportional to 382, 572.94 and 165.64 is: 248.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    382 : 572.94 = 165.64 : x
  2. Step 2: Convert to fraction form
    382/572.94 = 165.64/x
  3. Step 3: Cross multiply
    382x = 572.94 × 165.64
  4. Step 4: Simplify right side
    382x = 94,901.78
  5. Step 5: Solve for x
    x = 94,901.78/382
  6. Step 6: Final answer
    x = 248.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.